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Number

2,423

2,423 is a prime, odd.

2,423 (two thousand four hundred twenty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMCDXXIII and in binary, 100101110111.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
48
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
3,242
Recamán's sequence
a(15,689) = 2,423
Square (n²)
5,870,929
Cube (n³)
14,225,260,967
Divisor count
2
σ(n) — sum of divisors
2,424
φ(n) — Euler's totient
2,422

Primality

2,423 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2423
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,423)
1 × 2423
First multiples
2,423 · 4,846 (double) · 7,269 · 9,692 · 12,115 · 14,538 · 16,961 · 19,384 · 21,807 · 24,230

Sums & aliquot sequence

As consecutive integers: 1,211 + 1,212

Continued fraction of √n

√2,423 = [49; (4, 2, 6, 1, 1, 2, 2, 1, 3, 1, 1, 2, 1, 5, 13, 1, 8, 49, 8, 1, 13, 5, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
two thousand four hundred twenty-three
Ordinal
2423rd
Roman numeral
MMCDXXIII
Binary
100101110111
Octal
4567
Hexadecimal
0x977
Base64
CXc=
One's complement
63,112 (16-bit)
Scientific notation
2.423 × 10³
As a duration
2,423 s = 40 minutes, 23 seconds
In other bases
ternary (3) 10022202
quaternary (4) 211313
quinary (5) 34143
senary (6) 15115
septenary (7) 10031
nonary (9) 3282
undecimal (11) 1903
duodecimal (12) 149b
tridecimal (13) 1145
tetradecimal (14) c51
pentadecimal (15) ab8
Palindromic in base 5

As an angle

2,423° = 6 × 360° + 263°
263° ≈ 4.59 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βυκγʹ
Mayan (base 20)
𝋦·𝋡·𝋣
Chinese
二千四百二十三
Chinese (financial)
貳仟肆佰貳拾參
In other modern scripts
Eastern Arabic ٢٤٢٣ Devanagari २४२३ Bengali ২৪২৩ Tamil ௨௪௨௩ Thai ๒๔๒๓ Tibetan ༢༤༢༣ Khmer ២៤២៣ Lao ໒໔໒໓ Burmese ၂၄၂၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,423 = 8
e — Euler's number (e)
Digit 2,423 = 5
φ — Golden ratio (φ)
Digit 2,423 = 0
√2 — Pythagoras's (√2)
Digit 2,423 = 6
ln 2 — Natural log of 2
Digit 2,423 = 3
γ — Euler-Mascheroni (γ)
Digit 2,423 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,417 (gap of 6)
  • Next prime: 2,437 (gap of 14)

Pair status: sexy with 2417.

Unicode codepoint
Devanagari Letter Uue
U+0977
Other letter (Lo)

UTF-8 encoding: E0 A5 B7 (3 bytes).

Hex color
#000977
RGB(0, 9, 119)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.119.

Address
0.0.9.119
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.119

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 2,423 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -47¢ — about midway to D7)
  • Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, -9¢)
  • Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -45¢ — about midway to D♯7)
Position in π

The digit sequence 2423 first appears in π at position 18,340 of the decimal expansion (the 18,340ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.